King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (161)
Homework # 1
Assigned date: Thursday, October 6, 2016
Due date: Thursday, October 12, 2016
Name: _
ID#: _

Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 5
Assigned date: Sunday, April 3, 2016
Due date: Sunday, April 10, 2016
Name: _
ID#: _
Problems
Marks
1
50
2
50
Total
100
Grades
Obtained
No

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 4
Assigned date: Sunday, March 20, 2016
Due date: Sunday, March 27, 2016
Name: _
ID#: _
Problem

3/1/2015
Summary of Previous Lecture
Decision making on the Mean of a population when the Variance is UnKnown
t - distribution
t,k
In general, the number of degrees of freedom in a calculation is
equal to the total number of observations (sample size) MIN

11/25/2014
Summary of Previous Lecture
Post-ANOVA analysis
Graphical Representation
Tukey test
Hypothesis:
H 0 : i j
Statistic:
H1 : i j
T
1 1
q a, f
MS E
n n
2
j
i
| xi x j | T
The Fisher Least Significant Difference Method (LSD)
Hypothesis:
H

3/10/2014
Summary of Previous Lecture
Decision making on Two Samples
Inference on the difference of the means of two populations,
Variances Known
Hypothesis
procedure
testing
Sample Size
Confidence
Interval
Inference on the Means of Two Populations,
Varia

3/10/2014
Summary of Previous Lecture
Decision making on Two Samples
Inference on the difference of the means of two populations,
Variances UnKnown
DOF = n1 + n2 - 2
DOF
Confidence Interval
Confidence Interval
The Paired t-Test
A special case of the two-

2/28/2014
Summary of Previous Lecture
Decision making on the Mean of a population
when the Variance is Known
Confidence Interval on the Mean
Two-sided confidence interval:
/2
1-
z
One-sided confidence intervals:
2
/2
z
2
100 (1-) % Confidence Interval
X

4/6/2013
SUMMARY
Hypothesis testing / Confidence Intervals
Single and Two Samples
Inference on the Mean of a Population,
Variance Known Single Sample
Hypothesis Testing on the Mean
1
4/6/2013
Inference on the Mean of a Population,
Variance unknown - Singl

3/18/2014
Summary of Previous Lecture
ANalysis Of VAriance ANOVA: Decision making on the means for more than
TWO samples
Total Variance = Variance Between + Variance Within
Modified ANOVA Statistic
statistic
between level / treatment var iability 2 betwe

GatesFacts Technical Information Library
Gates Compass Power Transmission CD-ROM version 1.2
The Gates Rubber Company
Denver, Colorado USA
_
Chain - Part 5: Advantages and Disadvantages
PA NOTE
Like any method of power transmission, chain drives have adva

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (151)
Homework # 3
Assigned date: 30/10/2015
Due date: 3/11/2015
Name: _
ID#:
Problems
Marks
1
10
2
10
3
10
4
10

Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (151)
Homework # 5
Assigned date: Thursday, November 26th, 2015
Due date: Tuesday, December 1st, 2015
Name: _
ID#: _
Problems
Marks
1
50
2
50
Total
100
Grade

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (151)
Homework # 4
Assigned date: Thursday, November 5, 2015
Due date: Thursday, November 12, 2015
Name: _
ID#:

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 3
Assigned date: Wednesday, 2 March, 2016
Due date: Thursday, 10 March, 2016
Name: _
ID#: _
Pro

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 4
Assigned date: Sunday, March 20, 2016
Due date: Sunday, March 27, 2016
Name: _
ID#: _
Problem

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 1
Assigned date: Sunday, January 31, 2016
Due date: Sunday, Feburay 7, 2016
Name: _
ID#: _
Prob

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 6
Assigned date: Tuesday, April 19th , 2016
Due date: Wednesday, April 26th , 2016
Name: _
ID#:

Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 5
Assigned date: Sunday, April 3, 2016
Due date: Sunday, April 10, 2016
Name: _
ID#: _
Problems
Marks
1
50
2
50
Total
100
Grades
Obtained
No

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (152)
Homework # 1
Assigned date: Sunday, January 31, 2016
Due date: Sunday, Feburay 7, 2016
Name: _
ID#: _
Prob

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (151)
Homework # 4
Assigned date: Thursday, November 5, 2015
Due date: Thursday, November 12, 2015
Name: _
ID#:

3/16/2014
Summary of Previous Lectures
Hypothesis Tests:
Single Sample:
z-test: Inference on the mean, variance known
t-test: Inference on the mean, variance unknown
chi-square test: Inference on the variance
Two Samples:
z-test: Inference on the d

ME 451:
Design and Analysis of Engineering Experiments
Random Sampling and Data Description
Random Sampling and Data Description
Learning Objectives
After covering this chapter, you should be able to do the following:
1.
Functions of Random Variables
2.
T

ME 451:
Design and Analysis of Engineering Experiments
Introduction to the course
Goals
Learn how to plan, design and conduct experiments
efficiently and effectively, and analyze the resulting
data to obtain objective conclusions.
Both design and statis

2/23/2017
Summary of Previous Lecture
Central Limit Theorem
If we are sampling from a population that has an unknown probability
distribution, the sampling distribution of the sample mean is still approximately
normal with mean and variance 2/n
If X1, X

10/13/2015
Summary of Previous Lecture
Decision making on the Mean of a population
when the Variance is Known
Confidence Interval on the Mean
Two-sided confidence interval:
/2
1-
z
One-sided confidence intervals:
X zn
2
/2
z
2
100 (1-) % Confidence Inte

2/23/2015
ME 451:
Design and Analysis of Engineering
Experiments
Decision Making for a Single Sample
Experiments:
One Factor
One Level/Treatment
One factor:
One Level:
Replicates (n):
Cutting speed
10 m/s
10
We would like to compare the sample mean with

2/26/2014
Summary of Previous Lecture
Decision making on the Mean of a population
when the Variance is Known
Hypothesis Testing on the Mean
We wish to test:
The procedure is often called as z-test.
Z-test uses the test statistic:
Fixed Significance Level

2/11/2015
Summary of Previous Lecture
Central Limit Theorem
If we are sampling from a population that has an unknown probability
distribution, the sampling distribution of the sample mean is still approximately
normal with mean and variance 2/n
If X1, X

11/20/2016
Summary of Previous Lectures
Hypothesis Tests:
Single Sample:
z-test: Inference on the mean, variance known
t-test: Inference on the mean, variance unknown
chi-square test: Inference on the variance
Two Samples:
z-test: Inference on the

See discussions, stats, and author profiles for this publication at: https:/www.researchgate.net/publication/237599961
Analysis of Cyclone Collection Efficiency
Article January 2003
DOI: 10.13031/2013.15040
CITATIONS
READS
9
325
4 authors, including:
Ling

King Fahd University of Petroleum & Minerals
Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (162)
Homework # 1
Assigned date: Thursday, Feburay 23, 2017
Due date: Sunday, March 02, 2017 (IN THE CLASS)
Nam

Mechanical Engineering Department
ME 451: Design and Analysis of Engineering Experiments
Semester (162)
Homework # 5
Assigned date: Saturday, May 06, 2017
Due date: Thursday, May 11, 2017
Name: _
ID#: _
Problems
Marks
1
35
2
30
3
35
Total
100
Grades
Obtai

3/6/2017
Summary of Previous Lecture
Hypothesis testing allows us to use a sample to decide between two
statements made about a Population characteristic / parameter.
These two statements are called the Null Hypothesis and the Alternative
Hypothesis.
Tw

2/18/2014
Summary of Previous Lecture
Statistical inference: Point / Parameter estimation and Hypothesis testing
Point Estimation: The objective of point estimation is to select a single
number, based on the data in a random sample, that is the most plaus